Math Problem Statement
Find three consecutive integers with a sum of 93.
Solution
The problem asks for three consecutive integers whose sum is 93. Let's solve it step by step.
Let the three consecutive integers be:
- (the first integer),
- (the second integer),
- (the third integer).
Their sum is:
Simplify:
Subtract 3 from both sides:
Divide by 3:
The integers are:
Would you like more details, or do you have any further questions?
Related Questions:
- How would the solution change if the sum was 105 instead of 93?
- Can you derive a general formula for finding consecutive integers with a given sum?
- What happens if we deal with consecutive even integers instead?
- Could this problem be solved graphically? How?
- How can you extend this to four consecutive integers?
Tip: Always check your final answer by adding the integers to verify the sum!
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Math Problem Analysis
Mathematical Concepts
Algebra
Consecutive Integers
Equations
Formulas
Sum of consecutive integers: x + (x+1) + (x+2) = S
Theorems
-
Suitable Grade Level
Grades 6-8